Search a number
-
+
23146467305 = 513229944561
BaseRepresentation
bin10101100011101000…
…110000111111101001
32012202010011100221212
4111203220300333221
5334400443423210
614344445042505
71446406503653
oct254350607751
965663140855
1023146467305
1198a8639525
12459b856435
13224b522100
1411981376d3
159070e2805
hex563a30fe9

23146467305 has 24 divisors (see below), whose sum is σ = 31113872280. Its totient is φ = 16503352320.

The previous prime is 23146467293. The next prime is 23146467329. The reversal of 23146467305 is 50376464132.

It can be written as a sum of positive squares in 12 ways, for example, as 8043040489 + 15103426816 = 89683^2 + 122896^2 .

It is not a de Polignac number, because 23146467305 - 216 = 23146401769 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447776 + ... + 496785.

It is an arithmetic number, because the mean of its divisors is an integer number (1296411345).

Almost surely, 223146467305 is an apocalyptic number.

It is an amenable number.

23146467305 is a deficient number, since it is larger than the sum of its proper divisors (7967404975).

23146467305 is a wasteful number, since it uses less digits than its factorization.

23146467305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944621 (or 944608 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 23146467305 in words is "twenty-three billion, one hundred forty-six million, four hundred sixty-seven thousand, three hundred five".

Divisors: 1 5 13 29 65 145 169 377 845 1885 4901 24505 944561 4722805 12279293 27392269 61396465 136961345 159630809 356099497 798154045 1780497485 4629293461 23146467305